Cayley Graphs and Symmetric 4-Polytopes

被引：1
|
作者：
Monson, Barry [1 ]
Weiss, Asia Ivic [2 ]
机构：
[1] Univ New Brunswick, Fredericton, NB E3B 5A3, Canada
[2] York Univ, Toronto, ON M3J 1P3, Canada
来源：
ARS MATHEMATICA CONTEMPORANEA | 2008年 / 1卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Abstract regular or chiral polytopes; symmetric graphs;
D O I：
10.26493/1855-3974.79.919
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Previously we have investigated the medial layer graph G for a finite, self-dual, regular or chiral abstract 4-polytope P. Here we study the Cayley graph C on a natural group generated by polarities of P, show that C covers G in a readily computable way and construct C as a voltage graph over G. We then examine such symmetric graphs for several interesting families of polytopes of type {p, q, p}, p = 3, 4, 5.
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页码：185 / 205
页数：21
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